Report of the fit

Fit summary

Description: PV19 version x. Initial fit parameters from a previous fit with ceres on replica zero. Negative g2 as stating parameters, the chi2 of replica 0 without minimisation with this fitconfig file was 1.10947.
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Cut on the error function: 4
Parameterisation: PV19x
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2 N_1 \alpha \sigma \lambda N_{1B} \alpha_B \sigma_B g_{2B}
-0.005144 0.68535248 0.21943481 0.3329461 0.66627605 0.0387879 0.075758463 0.34845635 0.019224141

Theory summary

Collinear PDF set: MMHT2014nnlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: NNLLp
Initial parameters fluctuations: True
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 166
\chi_{0}^2 = 1.1092
\chi_{mean}^2 = 1.1253
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.1393 \pm 0.018
\langle E \rangle \pm \sigma_{E} = 2.124 \pm 0.1813

Parameters

Parameter Central replica Average over replicas Fixed
g_2 -0.0053704255 -0.00704821 \pm 0.01063546 False
N_1 0.65700739 0.81060207 \pm 0.42482512 False
\alpha 0.2182943 0.22897105 \pm 0.02058738 False
\sigma 0.33326516 0.30438571 \pm 0.08461941 False
\lambda 0.65465646 0.65049177 \pm 0.08422013 False
N_{1B} 0.039906833 13.19571078 \pm 168.90703882 False
\alpha_B 0.075999739 0.08057839 \pm 0.02231829 False
\sigma_B 0.35204268 0.32460359 \pm 0.11180911 False
g_{2B} 0.018927351 0.01954714 \pm 0.00404642 False
Fitted parameter correlation matrix

Fit properties

Global \chi^2 distribution
Global error function distribution
g_2 distribution
N_1 distribution
\alpha distribution
\sigma distribution
\lambda distribution
N_{1B} distribution
\alpha_B distribution
\sigma_B distribution
g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.5843 0.0 0.5844
E605_Q_8_9 8 1.442 0.0 1.442
E605_Q_10.5_11.5 10 0.4762 0.1764 0.6526
E288_200_Q_4_5 4 0.753 0.8187 1.5717
E288_200_Q_5_6 5 1.7704 0.2324 2.0028
E288_200_Q_6_7 6 0.4264 0.1135 0.5399
E288_200_Q_7_8 7 0.5599 0.0026 0.5626
E288_200_Q_8_9 8 0.5918 0.0447 0.6365
E288_300_Q_4_5 4 0.5943 0.4329 1.0271
E288_300_Q_5_6 5 0.9293 0.1086 1.0379
E288_300_Q_6_7 6 0.5751 0.0244 0.5995
E288_300_Q_7_8 7 0.1516 0.0132 0.1648
E288_300_Q_8_9 8 0.4665 0.0052 0.4717
E288_400_Q_5_6 5 0.3674 0.0 0.3674
E288_400_Q_6_7 6 0.1008 0.005 0.1058
E288_400_Q_7_8 7 0.0245 0.0246 0.0491
E288_400_Q_8_9 8 0.4599 0.0436 0.5035
E288_400_Q_11_12 11 0.4904 0.0503 0.5407
E288_400_Q_12_13 12 0.4861 0.0468 0.5329
E288_400_Q_13_14 12 0.5925 0.0915 0.684
STAR_510 7 0.9489 0.0421 0.991
CDF_RunI 25 0.5556 0.0727 0.6283
CDF_RunII 26 0.9155 0.0022 0.9177
D0_RunI 12 0.6224 0.0315 0.6539
D0_RunII 5 0.9459 0.0431 0.9891
D0_RunIImu 3 0.325 0.0491 0.3741
LHCb_7TeV 7 1.1697 0.1975 1.3671
LHCb_8TeV 7 0.5978 0.1649 0.7626
LHCb_13TeV 7 0.8714 0.0422 0.9136
CMS_7TeV 4 2.5211 0 2.5211
CMS_8TeV 4 1.285 0.1507 1.4357
ATLAS_7TeV_y_0_1 6 3.3163 0.0191 3.3354
ATLAS_7TeV_y_1_2 6 3.5971 0.5985 4.1956
ATLAS_7TeV_y_2_2.4 6 2.8794 0.2878 3.1672
ATLAS_8TeV_y_0_0.4 6 2.9918 0.7083 3.7001
ATLAS_8TeV_y_0.4_0.8 6 3.3963 0.6824 4.0787
ATLAS_8TeV_y_0.8_1.2 6 1.5652 0.1759 1.7411
ATLAS_8TeV_y_1.2_1.6 6 1.3454 0.2296 1.575
ATLAS_8TeV_y_1.6_2 6 0.8918 0.2905 1.1824
ATLAS_8TeV_y_2_2.4 6 0.8868 0.4127 1.2995
ATLAS_8TeV_Q_46_66 4 1.8007 0.5584 2.3591
ATLAS_8TeV_Q_116_150 8 0.6565 0.002 0.6585
Total 319 - - 1.1092
Mean-replica \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.7629 0.0777 0.8406
E605_Q_8_9 8 1.5305 0.0093 1.5398
E605_Q_10.5_11.5 10 0.3546 0.1622 0.5169
E288_200_Q_4_5 4 0.4285 0.247 0.6755
E288_200_Q_5_6 5 1.2808 0.1147 1.3955
E288_200_Q_6_7 6 0.3381 0.0694 0.4075
E288_200_Q_7_8 7 0.57 0.0076 0.5776
E288_200_Q_8_9 8 0.8081 0.017 0.8252
E288_300_Q_4_5 4 0.4409 0.0879 0.5289
E288_300_Q_5_6 5 0.7565 0.055 0.8114
E288_300_Q_6_7 6 0.5159 0.0234 0.5393
E288_300_Q_7_8 7 0.1467 0.0145 0.1611
E288_300_Q_8_9 8 0.392 0.01 0.402
E288_400_Q_5_6 5 0.5063 0.0144 0.5207
E288_400_Q_6_7 6 0.1144 0.0094 0.1238
E288_400_Q_7_8 7 0.0359 0.0185 0.0545
E288_400_Q_8_9 8 0.6179 0.0297 0.6477
E288_400_Q_11_12 11 0.7325 0.0677 0.8002
E288_400_Q_12_13 12 0.776 0.0509 0.8269
E288_400_Q_13_14 12 1.1021 0.0589 1.161
STAR_510 7 0.9636 0.075 1.0386
CDF_RunI 25 0.5218 0.0746 0.5964
CDF_RunII 26 0.9909 0.0 0.9909
D0_RunI 12 0.6515 0.0279 0.6794
D0_RunII 5 1.3618 0.0485 1.4103
D0_RunIImu 3 0.1155 0.018 0.1335
LHCb_7TeV 7 1.0434 0.2184 1.2618
LHCb_8TeV 7 0.5283 0.1704 0.6987
LHCb_13TeV 7 0.947 0.041 0.988
CMS_7TeV 4 2.5098 0 2.5098
CMS_8TeV 4 1.2751 0.1493 1.4244
ATLAS_7TeV_y_0_1 6 3.228 0.0201 3.2481
ATLAS_7TeV_y_1_2 6 3.5075 0.6001 4.1076
ATLAS_7TeV_y_2_2.4 6 2.9771 0.2997 3.2768
ATLAS_8TeV_y_0_0.4 6 2.9443 0.7127 3.6569
ATLAS_8TeV_y_0.4_0.8 6 3.315 0.6891 4.0041
ATLAS_8TeV_y_0.8_1.2 6 1.5297 0.1784 1.7081
ATLAS_8TeV_y_1.2_1.6 6 1.3111 0.2324 1.5435
ATLAS_8TeV_y_1.6_2 6 0.8455 0.2862 1.1317
ATLAS_8TeV_y_2_2.4 6 0.7733 0.3493 1.1226
ATLAS_8TeV_Q_46_66 4 1.8165 0.5561 2.3725
ATLAS_8TeV_Q_116_150 8 0.6605 0.0014 0.662
Total 319 - - 1.1253
Average-over-replicas \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.5039 \pm 0.2099 0.1252 \pm 0.1631 0.629 \pm 0.125
E605_Q_8_9 8 1.3308 \pm 0.2698 0.0851 \pm 0.1245 1.4159 \pm 0.247
E605_Q_10.5_11.5 10 0.4695 \pm 0.3635 0.2562 \pm 0.305 0.7257 \pm 0.1688
E288_200_Q_4_5 4 0.3794 \pm 1.374 1.1706 \pm 1.302 1.55 \pm 0.3598
E288_200_Q_5_6 5 1.5756 \pm 0.7851 0.4829 \pm 0.7066 2.0585 \pm 0.2393
E288_200_Q_6_7 6 0.2222 \pm 0.4187 0.3515 \pm 0.4016 0.5738 \pm 0.1223
E288_200_Q_7_8 7 0.4423 \pm 0.2465 0.151 \pm 0.1922 0.5933 \pm 0.1644
E288_200_Q_8_9 8 0.5161 \pm 0.1544 0.1325 \pm 0.1431 0.6487 \pm 0.0767
E288_300_Q_4_5 4 0.3173 \pm 0.9901 0.6951 \pm 0.9038 1.0124 \pm 0.2539
E288_300_Q_5_6 5 0.7531 \pm 0.5016 0.3447 \pm 0.455 1.0977 \pm 0.1619
E288_300_Q_6_7 6 0.4348 \pm 0.3404 0.2076 \pm 0.3019 0.6424 \pm 0.1511
E288_300_Q_7_8 7 0.0164 \pm 0.2385 0.1708 \pm 0.2217 0.1873 \pm 0.0659
E288_300_Q_8_9 8 0.3882 \pm 0.1501 0.1012 \pm 0.1441 0.4895 \pm 0.0782
E288_400_Q_5_6 5 0.2382 \pm 0.3189 0.2074 \pm 0.2776 0.4456 \pm 0.1397
E288_400_Q_6_7 6 0.0076 \pm 0.1926 0.1459 \pm 0.2114 0.1534 \pm 0.1036
E288_400_Q_7_8 7 -0.0415 \pm 0.1829 0.1322 \pm 0.1637 0.0907 \pm 0.0909
E288_400_Q_8_9 8 0.4131 \pm 0.2158 0.1361 \pm 0.1915 0.5492 \pm 0.1332
E288_400_Q_11_12 11 0.4925 \pm 0.2081 0.1079 \pm 0.1213 0.6004 \pm 0.1792
E288_400_Q_12_13 12 0.4516 \pm 0.1399 0.1154 \pm 0.1335 0.567 \pm 0.0507
E288_400_Q_13_14 12 0.571 \pm 0.1358 0.1229 \pm 0.1226 0.6939 \pm 0.0611
STAR_510 7 0.8668 \pm 0.2057 0.1558 \pm 0.2081 1.0227 \pm 0.0642
CDF_RunI 25 0.5246 \pm 0.1125 0.1091 \pm 0.1088 0.6336 \pm 0.022
CDF_RunII 26 0.8943 \pm 0.1091 0.0462 \pm 0.0563 0.9405 \pm 0.0891
D0_RunI 12 0.5689 \pm 0.1281 0.0913 \pm 0.1235 0.6601 \pm 0.0312
D0_RunII 5 0.7756 \pm 0.3753 0.2212 \pm 0.2936 0.9968 \pm 0.2163
D0_RunIImu 3 -0.1678 \pm 0.5949 0.5601 \pm 0.5417 0.3923 \pm 0.2268
LHCb_7TeV 7 0.9692 \pm 0.3323 0.3989 \pm 0.3307 1.3681 \pm 0.0334
LHCb_8TeV 7 0.487 \pm 0.4113 0.3126 \pm 0.386 0.7997 \pm 0.1448
LHCb_13TeV 7 0.8217 \pm 0.2287 0.137 \pm 0.2171 0.9587 \pm 0.0884
CMS_7TeV 4 2.5221 \pm 0.016 0.0 \pm 0.0 2.5221 \pm 0.016
CMS_8TeV 4 1.2044 \pm 0.2317 0.225 \pm 0.2213 1.4294 \pm 0.0663
ATLAS_7TeV_y_0_1 6 3.2744 \pm 0.3456 0.0961 \pm 0.1181 3.3706 \pm 0.3166
ATLAS_7TeV_y_1_2 6 3.6787 \pm 0.3522 0.5943 \pm 0.3124 4.2729 \pm 0.1542
ATLAS_7TeV_y_2_2.4 6 2.8927 \pm 0.1796 0.3245 \pm 0.1484 3.2172 \pm 0.1019
ATLAS_8TeV_y_0_0.4 6 2.9351 \pm 0.4828 0.777 \pm 0.4141 3.7122 \pm 0.1977
ATLAS_8TeV_y_0.4_0.8 6 3.3104 \pm 0.517 0.8081 \pm 0.5027 4.1185 \pm 0.104
ATLAS_8TeV_y_0.8_1.2 6 1.5549 \pm 0.2321 0.2175 \pm 0.2092 1.7724 \pm 0.0724
ATLAS_8TeV_y_1.2_1.6 6 1.3247 \pm 0.2555 0.2822 \pm 0.2359 1.6068 \pm 0.1018
ATLAS_8TeV_y_1.6_2 6 0.9726 \pm 0.411 0.309 \pm 0.288 1.2816 \pm 0.2679
ATLAS_8TeV_y_2_2.4 6 0.9173 \pm 0.4795 0.5105 \pm 0.3264 1.4278 \pm 0.3287
ATLAS_8TeV_Q_46_66 4 1.6317 \pm 0.6415 0.7217 \pm 0.6262 2.3534 \pm 0.1049
ATLAS_8TeV_Q_116_150 8 0.559 \pm 0.1801 0.107 \pm 0.1795 0.6659 \pm 0.0184
Total 319 - - 1.1393 \pm 0.018

TMDs in k_T space

TMD PDF of the d at Q = 2 GeV and x = 0.001
TMD PDF of the d at Q = 2 GeV and x = 0.01
TMD PDF of the d at Q = 2 GeV and x = 0.1
TMD PDF of the d at Q = 2 GeV and x = 0.5
TMD PDF of the d at Q = 2 GeV and x = 0.9

Data-theory comparison

E605_Q_7_8 data-theory comparison
E605_Q_8_9 data-theory comparison
E605_Q_10.5_11.5 data-theory comparison
E288_200_Q_4_5 data-theory comparison
E288_200_Q_5_6 data-theory comparison
E288_200_Q_6_7 data-theory comparison
E288_200_Q_7_8 data-theory comparison
E288_200_Q_8_9 data-theory comparison
E288_300_Q_4_5 data-theory comparison
E288_300_Q_5_6 data-theory comparison
E288_300_Q_6_7 data-theory comparison
E288_300_Q_7_8 data-theory comparison
E288_300_Q_8_9 data-theory comparison
E288_400_Q_5_6 data-theory comparison
E288_400_Q_6_7 data-theory comparison
E288_400_Q_7_8 data-theory comparison
E288_400_Q_8_9 data-theory comparison
E288_400_Q_11_12 data-theory comparison
E288_400_Q_12_13 data-theory comparison
E288_400_Q_13_14 data-theory comparison
STAR_510 data-theory comparison
CDF_RunI data-theory comparison
CDF_RunII data-theory comparison
D0_RunI data-theory comparison
D0_RunII data-theory comparison
D0_RunIImu data-theory comparison
LHCb_7TeV data-theory comparison
LHCb_8TeV data-theory comparison
LHCb_13TeV data-theory comparison
CMS_7TeV data-theory comparison
CMS_8TeV data-theory comparison
ATLAS_7TeV_y_0_1 data-theory comparison
ATLAS_7TeV_y_1_2 data-theory comparison
ATLAS_7TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_y_0_0.4 data-theory comparison
ATLAS_8TeV_y_0.4_0.8 data-theory comparison
ATLAS_8TeV_y_0.8_1.2 data-theory comparison
ATLAS_8TeV_y_1.2_1.6 data-theory comparison
ATLAS_8TeV_y_1.6_2 data-theory comparison
ATLAS_8TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_Q_46_66 data-theory comparison
ATLAS_8TeV_Q_116_150 data-theory comparison